If the sum of three integers is even, is the product of the three

IMO the answer D.

Statement 1: as the the sum of the three integers is even, and as all three integers are equal to each other, we can conclude that all numbers are even integers (even + even + even = even while odd + odd + odd = odd). In this case the multiplication is necessarily a multiple of 4: If one of the number is zero the multiplication also equal to zero and thus a multiple of 4 (zero is a multiple of all integers) and If non of the numbers is equal to zero the multiplication has at least 3 two's (because each of the numbers is even) and thus the product is necessarily a multiple of 4. Sufficient.

Statement 2: this statement state explicitly the conclusion we inferred from the first statement. Thus the analysis is the same. Sufficient.

Answer: D